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Finding the Third Proportional to 3,536,096 and 5,438,384

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Solution

The third proportional to 3,536,096 and 5,438,384 is: 8,364,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536,096 : 5,438,384 = 5,438,384 : x
  2. Step 2: Convert to fraction form
    3,536,096/5,438,384 = 5,438,384/x
  3. Step 3: Cross multiply
    3,536,096x = 5,438,384 × 5,438,384
  4. Step 4: Simplify right side
    3,536,096x = 29,576,020,531,456
  5. Step 5: Solve for x
    x = 29,576,020,531,456/3,536,096
  6. Step 6: Final answer
    x = 8,364,032.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.